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Bossé, Michael J.; Bayaga, Anass; Fountain, Catherine; Young, Erica Slate; DeMarte, Ashley – International Electronic Journal of Elementary Education, 2019
Previous theoretical research has revealed conceptual similarities among a number of mathematical learning theories and theories regarding language acquisition. This intersection of ideas led to a novel framework defining four stages of mathematical learning: Receiving, Replicating, Negotiating Meaning, and Producing. Through qualitative research…
Descriptors: Mathematics Instruction, Teaching Methods, Language Acquisition, Mathematics Skills
Bayaga, Anass; Bossé, Michael J. – International Electronic Journal of Elementary Education, 2018
This study begins by connecting semantic elaboration with conceptual understanding and syntactic elaboration with procedural understanding in the context of fractions. Through case studies and discourse analysis, the work and communication of students in fourth through sixth grade is analyzed to determine the extent of their semantic and syntactic…
Descriptors: Semantics, Fractions, Mathematical Concepts, Case Studies
Bossé, Michael J.; Bayaga, Anass; Fountain, Catherine; Lynch-Davis, Kathleen; Preston, Ron; Adu-Gyamfi, Kwaku – International Electronic Journal of Elementary Education, 2018
This study applies the Mathematics Acquisition Framework (MAF) (Bossé, Ringler, Bayaga, Fountain, & Young, 2018) to investigate fifth- through seventh-grade students' comprehension of fractions and decimals and examines how students build understanding of mathematical principles and concepts regarding fractions and decimals. Based on case…
Descriptors: Mathematics Education, Grade 5, Grade 6, Grade 7